| 多维卷积算子逼近的逆定理 |
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| 引用本文： | 李落清. 多维卷积算子逼近的逆定理[J]. 湖北大学学报(自然科学版), 1991, 13(2): 95-97 |
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| 作者姓名： | 李落清 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： | 本文证明了多维卷积算子逼近的逆定理。作为特例,得到多元Jackson多项式算子和多元Vallée Poussin多项式算子的逼近阶。
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| 关 键 词： | 多维卷积算子 逼近 逆定理 |
CONVERSE THEOREMS ON THE APPROXIMATION BY THE MULTIDIMENSIONAL CONVOLUTION OPERATORS |
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| Li Luoqing. CONVERSE THEOREMS ON THE APPROXIMATION BY THE MULTIDIMENSIONAL CONVOLUTION OPERATORS[J]. Journal of Hubei University(Natural Science Edition), 1991, 13(2): 95-97 |
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| Authors: | Li Luoqing |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper investigates the converse theorems for the multidimensional convolution operator approximation. The results obtained in the paper yield applications to the approximation by multi-variate Jackson and Vallee Poussin polynomals. |
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| Keywords: | Multidimensional convolution operator Approximation Converse theorem. |
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